He doesn't want to run. He wants to throw and he has had many accurate passes over his career. You can watch on YouTube a bunch of games where he passed the ball very well.
But he has had his issues and nobody confuses him with Joe Burrow, but most of us know he has been hamstrung by his OC. He's not a 1st round draft pick but he's trying to be one by playing as hard as any player on the field.
If Satterfield feels Domann is playing better than by all means play him, but this idea that after being demoted, Malik is going to want to run routes with the receivers is yes, ridiculous.
The most logical and likely scenario will be Satterfield employing both like they do with the RB's. A series for Malik, a series for Domann and then see who's more successful in that game. Against Pitt, Malik may get more snaps and Domann gets more Against Wake.
But IMO once Malik is ready to go, he should take all the snaps with the improved play calling, regardless of who's holding the playcards.